On a finite element approximation for the elastoplastic torsion problem

Abstract

This study is concerned with the elastoplastic torsion problem and its standard finite element approximation using piecewise affine Lagrange finite elements. In the case of a polytopal convex domain in dimension n=1,2,3 we obtain an H1-error bound of order h for the solution. For a nonconvex domain, we obtain also an error estimate.